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For a particle projected in a transverse...

For a particle projected in a transverse direction from a height `h` above earth's surface, find the minimum initial velocity so that it just grazes the surface of earth such that path of this particle would be an ellipse with centre of earth as the farther focus, point of projection as the apogee and a diametrically opposite point on earth's surface as perigee.

A

`sqrt(2GM_e(R .)/(r(R+r))`

B

`sqrt(2GM_e(R .)/(R(R+r))`

C

`sqrt(2GM_e(r)/(r(R+r))`

D

`sqrt(2GM_e((.R)/(r^2)`

Text Solution

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The correct Answer is:
A
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